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cond-mat.dis-nn2026
Curvature-amplified angular localization of radially localized states
Hiroyuki Shima
We study a continuum Schrödinger particle on a surface of constant curvature subject to a radial random potential and a weaker angle-dependent perturbation. Exact angular-momentum…
cond-mat.soft2026
Geometric Renormalization and a Chirality Threshold in Recursively Coiled Filaments
Hiroyuki Shima
Repeated coiling creates a filament hierarchy. We formulate helicalization as an iterated map acting on an arbitrary rod compliance, rather than homogenizing one prescribed constru…